What is the Least Common Multiple of 4043 and 4063?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 4043 and 4063 is 16426709.
LCM(4043,4063) = 16426709
Least Common Multiple of 4043 and 4063 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4043 and 4063, than apply into the LCM equation.
GCF(4043,4063) = 1
LCM(4043,4063) = ( 4043 × 4063) / 1
LCM(4043,4063) = 16426709 / 1
LCM(4043,4063) = 16426709
Least Common Multiple (LCM) of 4043 and 4063 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4043 and 4063. First we will calculate the prime factors of 4043 and 4063.
Prime Factorization of 4043
Prime factors of 4043 are 13, 311. Prime factorization of 4043 in exponential form is:
4043 = 131 × 3111
Prime Factorization of 4063
Prime factors of 4063 are 17, 239. Prime factorization of 4063 in exponential form is:
4063 = 171 × 2391
Now multiplying the highest exponent prime factors to calculate the LCM of 4043 and 4063.
LCM(4043,4063) = 131 × 3111 × 171 × 2391
LCM(4043,4063) = 16426709
Related Least Common Multiples of 4043
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Related Least Common Multiples of 4063
- LCM of 4063 and 4067
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